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Simplifying -6(3n + 3) = 6(-3 + 9n) Reorder the terms: -6(3 + 3n) = 6(-3 + 9n) (3 * -6 + 3n * -6) = 6(-3 + 9n) (-18 + -18n) = 6(-3 + 9n) -18 + -18n = (-3 * 6 + 9n * 6) -18 + -18n = (-18 + 54n) Add '18' to each side of the equation. -18 + 18 + -18n = -18 + 18 + 54n Combine like terms: -18 + 18 = 0 0 + -18n = -18 + 18 + 54n -18n = -18 + 18 + 54n Combine like terms: -18 + 18 = 0 -18n = 0 + 54n -18n = 54n Solving -18n = 54n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-54n' to each side of the equation. -18n + -54n = 54n + -54n Combine like terms: -18n + -54n = -72n -72n = 54n + -54n Combine like terms: 54n + -54n = 0 -72n = 0 Divide each side by '-72'. n = 0 Simplifying n = 0
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